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13370169864 = 2334131742863
BaseRepresentation
bin11000111001110110…
…01001101000001000
31021111210100000001110
430130323021220020
5204340230413424
610050413050320
7652216366032
oct143473115010
937453300043
1013370169864
115741126567
1227117869a0
131350c9a71c
1490b9a6c52
15533bc1c29
hex31cec9a08

13370169864 has 64 divisors (see below), whose sum is σ = 34349495040. Its totient is φ = 4334205440.

The previous prime is 13370169863. The next prime is 13370169899. The reversal of 13370169864 is 46896107331.

It is a happy number.

It is a super-3 number, since 3×133701698643 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13370169863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290497 + ... + 333359.

It is an arithmetic number, because the mean of its divisors is an integer number (536710860).

Almost surely, 213370169864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13370169864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174747520).

13370169864 is an abundant number, since it is smaller than the sum of its proper divisors (20979325176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13370169864 is a wasteful number, since it uses less digits than its factorization.

13370169864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43230 (or 43226 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 13370169864 in words is "thirteen billion, three hundred seventy million, one hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 317 328 492 634 951 984 1268 1902 2536 3804 7608 12997 25994 38991 42863 51988 77982 85726 103976 128589 155964 171452 257178 311928 342904 514356 1028712 1757383 3514766 5272149 7029532 10544298 13587571 14059064 21088596 27175142 40762713 42177192 54350284 81525426 108700568 163050852 326101704 557090411 1114180822 1671271233 2228361644 3342542466 4456723288 6685084932 13370169864